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added altitude Answer arithmetical axis base breadth called centre chord circle circumference common cone consequently contained Corol cube curve denominator denote describe diameter difference distance divide division divisor double draw drawn equal equation EXAMPLES extremes feet figure former four fraction given gives greater half height Hence inches interest join length less letters logarithm manner mean measure meeting multiply namely Note opposite parallel parallelogram perpendicular plane position PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder right angles root rule segment sides similar sine solid square station subtract surface taken tangent theor THEOREM theref thing third triangle whole yards
2 ページ - Thus, when it is said that, The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
ii ページ - District, has deposited in this office the title of a book, the right whereof he claims as proprietor, in the words following, to wit : " THE CHILD'S BOTANY," In conformity to the act of the Congress of the United States, entitled, " An act for the encouragement of learning by securing the copies of maps, charts, and books to the authors and proprietors of such copies, during the times therein mentioned...
296 ページ - If a straight line be divided into any two parts, the square on the whole line is...
438 ページ - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
285 ページ - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
310 ページ - The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment.
285 ページ - AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side.
279 ページ - If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
398 ページ - Two ships of war, intending to cannonade a fort, are, by the shallowness of the water, kept so far from it, that they suspect their guns cannot reach it with effect. In order, therefore, to measure the distance, they separate from each other a quarter of a mile, or 440 yards ; then each ship observes and measures the angle which the other ship and the fort subtend, which angles are 83° 45